Question

If x = 3+2 root 2 than value of x +1 upon x

Answer 1

Answer:

$7(3+\sqrt{2})$

Step-by-step explanation:

$\frac{1}{x} = \frac{1}{3 +\sqrt{2} }$

Rationalizing the equation we get,

$\frac{1}{x} = \frac{3 - \sqrt{2} }{7}$

Now,

$x + \frac{1}{x} = \frac{ (3+\sqrt{2} ) (3-\sqrt{2}) +7}{3-\sqrt{2}} = \frac{14}{3-\sqrt{2}}$

Rationalizing the equation we get

$7(3+\sqrt{2})$